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82968278616 = 2334421304127
BaseRepresentation
bin100110101000101001…
…0110111011001011000
321221011012110020210000
41031101102313121120
52324404334403431
6102040510053000
75665013506056
oct1152122673130
9257135406700
1082968278616
1132206480803
12140b5aaa160
137a930909b2
1440310851d6
152258d989e6
hex13514b7658

82968278616 has 80 divisors (see below), whose sum is σ = 232940759040. Its totient is φ = 27590310720.

The previous prime is 82968278597. The next prime is 82968278647. The reversal of 82968278616 is 61687286928.

82968278616 is a `hidden beast` number, since 8 + 2 + 9 + 6 + 8 + 2 + 7 + 8 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 120745 + ... + 424871.

It is an arithmetic number, because the mean of its divisors is an integer number (2911759488).

Almost surely, 282968278616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82968278616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116470379520).

82968278616 is an abundant number, since it is smaller than the sum of its proper divisors (149972480424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82968278616 is a wasteful number, since it uses less digits than its factorization.

82968278616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304566 (or 304553 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 82968278616 in words is "eighty-two billion, nine hundred sixty-eight million, two hundred seventy-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 421 648 842 1263 1684 2526 3368 3789 5052 7578 10104 11367 15156 22734 30312 34101 45468 68202 90936 136404 272808 304127 608254 912381 1216508 1824762 2433016 2737143 3649524 5474286 7299048 8211429 10948572 16422858 21897144 24634287 32845716 49268574 65691432 98537148 128037467 197074296 256074934 384112401 512149868 768224802 1024299736 1152337203 1536449604 2304674406 3072899208 3457011609 4609348812 6914023218 9218697624 10371034827 13828046436 20742069654 27656092872 41484139308 82968278616